Title
A New Class of Searchable and Provably Highly Compressible String Transformations.
Abstract
The Burrows-Wheeler Transform is a string transformation that plays a fundamental role for the design of self-indexing compressed data structures. Over the years, researchers have successfully extended this transformation outside the domains of strings. However, efforts to find non-trivial alternatives of the original, now 25 years old, Burrows-Wheeler string transformation have met limited success. In this paper we bring new lymph to this area by introducing a whole new family of transformations that have all the myriad virtues of the BWT: they can be computed and inverted in linear time, they produce provably highly compressible strings, and they support linear time pattern search directly on the transformed string. This new family is a special case of a more general class of transformations based on context adaptive alphabet orderings, a concept introduced here. This more general class includes also the Alternating BWT, another invertible string transforms recently introduced in connection with a generalization of Lyndon words.
Year
Venue
Field
2019
arXiv: Data Structures and Algorithms
Compressibility,Discrete mathematics,Computer science,New class,Combinatorics on words
DocType
Volume
Citations 
Journal
abs/1902.01280
0
PageRank 
References 
Authors
0.34
19
4
Name
Order
Citations
PageRank
Raffaele Giancarlo11112107.23
Giovanni Manzini21584111.42
Giovanna Rosone319321.77
Marinella Sciortino422522.34